document.write( "Question 1132131: Without using tables find the values of\r
\n" ); document.write( "\n" ); document.write( "(a) (tan69° + tan66°)/(1 - tan69°tan66°)\r
\n" ); document.write( "\n" ); document.write( "(b) (sin45°cos15° + sin15°cos45°)/(sin45°cos15° - sin15°cos45°) \n" ); document.write( "

Algebra.Com's Answer #749061 by ikleyn(52806) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "(a)  (tan69° + tan66°)/(1 - tan69°tan66°) = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             apply the formula  tan(a+b) = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = tan(69° + 66°) = tan(135°) = tan(180° + 45°) = 1.     ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  (sin45°cos15° + sin15°cos45°)/(sin45°cos15° - sin15°cos45°) = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             apply the formula  sin(a+b) = sin(a)*cos(b) + cos(a)*sin(b)  to the numerator;\r\n" );
document.write( "\r\n" );
document.write( "             apply the formula  sin(a-b) = sin(a)*cos(b) - cos(a)*sin(b)  to the denominator.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      =  =  =  = .     ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );